# Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4 - Page 490: 29

$x=1.53$

#### Work Step by Step

Divide both sides by $5$. Then make each side a natural log, and pull down the exponent on the left side. Then divide to solve for $x$. $5e^x=23$ $e^x=\frac{23}{5}$ $x\ln(e)=\ln(\frac{23}{5})$ $x=\frac{\ln(\frac{23}{5})}{\ln(e)}$ $x=1.53$

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